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Volume daerah yang dibatasi oleh kurva y=x2+1 dan y=x+3 jika diputar mengelilingi sumbu X sejauh 360∘ adalah.....

Pertanyaan

Volume daerah yang dibatasi oleh kurva y equals x squared plus 1 space d a n space y equals x plus 3 jika diputar mengelilingi sumbu X sejauh 360 degree adalah.....

  1. 107 over 5 straight pi satuan volume

  2. 117 over 5 straight pi satuan volume

  3. 105 over 5 straight pi satuan volume

  4. 7 over 5 straight pi satuan volume

  5. 4 over 5 straight pi satuan volume

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

T i t i k space p o t o n g space a n t a r a space p a r a b o l a space d a n space g a r i s colon space  y subscript 1 equals y subscript 2  x squared plus 1 equals x plus 3  x squared minus x minus 2 equals 0  left parenthesis x minus 2 right parenthesis left parenthesis x plus 1 right parenthesis equals 0  x equals 2 space a t a u space x equals negative 1

D a r i space g r a f i k space d i space a t a s comma space m a k a space d i d a p a t  V equals pi integral subscript negative 1 end subscript superscript 2 open parentheses x plus 3 close parentheses squared minus open parentheses x squared plus 1 close parentheses squared space d x space  V equals pi integral subscript negative 1 end subscript superscript 2 x squared plus 6 x plus 9 minus open parentheses x to the power of 4 plus 2 x squared plus 1 close parentheses to the power of space space d x space  V equals pi integral subscript negative 1 end subscript superscript 2 minus x to the power of 4 minus x squared plus 6 x plus 8 space d x space  V equals pi open square brackets negative 1 fifth x to the power of 5 minus 1 third x cubed plus 3 x squared plus 8 x close square brackets table row 2 row cell negative 1 end cell end table  V equals pi open parentheses open square brackets negative 1 fifth 32 minus 1 third 8 plus 3 open parentheses 4 close parentheses plus 8 open parentheses 2 close parentheses close square brackets long dash open square brackets negative 1 fifth left parenthesis negative 1 right parenthesis minus 1 third left parenthesis negative 1 right parenthesis plus 3 open parentheses 1 close parentheses plus 8 open parentheses negative 1 close parentheses close square brackets close parentheses  V equals pi open parentheses open square brackets negative 32 over 5 minus 8 over 3 plus 28 close square brackets long dash open square brackets 1 fifth plus 1 third minus 5 close square brackets close parentheses  V equals pi open parentheses negative 33 over 5 minus 9 over 3 plus 33 close parentheses  V equals pi open parentheses negative 33 over 5 plus 30 close parentheses  V equals 117 over 5 pi

25

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Pertanyaan serupa

Volume daerah yang dibatasi oleh kurva y=x2+1 dan y=x+3 jika diputar mengelilingi sumbu X sejauh 360∘ adalah....

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Jawaban terverifikasi

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